GCF and LCM Word Problems Extra

Front

What does GCF stand for in mathematics?

Back

GCF stands for Greatest Common Factor, which is the largest number that divides two or more numbers without leaving a remainder.

Front

What does LCM stand for in mathematics?

Back

LCM stands for Least Common Multiple, which is the smallest number that is a multiple of two or more numbers.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor that they have in common.

Front

How do you find the LCM of two numbers?

Back

To find the LCM, list the multiples of each number and identify the smallest multiple that they have in common.

Front

What is the GCF of 14 and 28?

Back

The GCF of 14 and 28 is 14.

Front

What is the LCM of 4 and 5?

Back

The LCM of 4 and 5 is 20.

Front

If Oscar has 14 rock CDs, 12 classical CDs, and 8 pop CDs, what is the GCF of these numbers?

Back

The GCF is 2, meaning he can pack 2 CDs in each box.

Front

If Jane has 18 juice boxes, 24 bags of peanuts, and 36 apples, what is the GCF of these numbers?

Back

The GCF is 6, meaning she can make 6 snack bags.

Front

If Shannon has 32 maroon balloons, 24 white balloons, and 16 orange balloons, what is the GCF of these numbers?

Back

The GCF is 8, meaning she can make 8 identical arrangements.

Front

In the context of the radio station problem, what is the LCM of 30 and 40?

Back

The LCM is 120, meaning the 120th caller will win both prizes.